Solving the Schrödinger equation with potentials of all the fundamental forces.

Question

What if I were to substitute all the potential energy terms in the Schrödinger equation, I.e., Nuclear(strong) PE, nuclear(weak) PE, electrostatic PE, electroweak PE and Gravitational PE.
(Also with Chemical PE, Elastic PE).How do I go about solving and analysing such a system?
Would the equation look like this:

$$\Delta\psi+\frac{2m}{(h/2\pi)^2}\left(E- \dfrac{4}{3} \dfrac{\alpha_s(r) \hbar c}{r} + kr - \frac{g^2}{4 \pi c^2} \frac{e^{-mr}}{r}+mgz +\frac{e^2}{4\pi\epsilon_0r}-K\frac{1}{r}e^{-mr}\right)\psi=0$$

Where $$ \dfrac{4}{3} \dfrac{\alpha_s(r) \hbar c}{r} + kr$$ is the potential for strong force,$$- \frac{g^2}{4 \pi c^2} \frac{e^{-mr}}{r}$$ is the Yukawa potential and $$-K\frac{1}{r}e^{-mr}$$ is the weak field potential.( The other two are the gravitational and Coulombic potentials).